Homework Help: Calc

Posted by Chelsea on Wednesday, September 15, 2010 at 12:23pm.

Find an expression for the function whose graph is the given curve.

The top half of the circle x^2 + (y-2)^2 = 4

My final answer is y= 2 +/- sqrt of x-4
However, I circled the positive sign because that's the top half. Is this right? I was not sure whether it was sqrt of x-4 or sqrt of x^2-4

Calc - Reiny, Wednesday, September 15, 2010 at 1:39pm
you are solving for y, so ...

(y-2)^2 = 4 - x^2
y - 2 = ą √(4-x^2)

since you want the top part
y = + √(4-x^2) + 2

incidentally, √(4-x^2) ≠ 2-x
e.g. √(16 - 4) = √12 ≠ 4-2
Calc - Reiny, Wednesday, September 15, 2010 at 3:25pm
you are solving for y, so ...

(y-2)^2 = 4 - x^2
y - 2 = ą √(4-x^2)

since you want the top part
y = + √(4-x^2) + 2

incidentally, √(4-x^2) ≠ 2-x
e.g. √(16 - 4) = √12 ≠ 4-2

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